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Finding the Fourth Proportional to 705.60, 1,053.38 and 596.22

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Solution

The fourth proportional to 705.60, 1,053.38 and 596.22 is: 890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.60 : 1,053.38 = 596.22 : x
  2. Step 2: Convert to fraction form
    705.60/1,053.38 = 596.22/x
  3. Step 3: Cross multiply
    705.60x = 1,053.38 × 596.22
  4. Step 4: Simplify right side
    705.60x = 628,043.24
  5. Step 5: Solve for x
    x = 628,043.24/705.60
  6. Step 6: Final answer
    x = 890.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.